Category: Integration

Question Number 31501 by abdo imad last updated on 09/Mar/18 $$find{\int }_0^{\frac{\pi }{4}}ln(1+2tanx)dx.$$ Commented by abdo imad last updated on 12/Mar/18 $${let}\:{introduce}\:{f}\left({t}\right)=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}}…

Question Number 97007 by bagjamath last updated on 06/Jun/20 Commented by bagjamath last updated on 06/Jun/20 $$WhatisthetheormSir?$$$${\int }_0^{1}ydx={\int }_{\mathrm{\infty }}^{0}xdy??$$…

Question Number 31465 by abdo imad last updated on 08/Mar/18 $$findF\left(\alpha \right)={\int }_0^1\frac{arctan\left(\alpha x\right)}{1+x^2}dxwith\alpha \in R-\{1,-1\}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 162535 by mnjuly1970 last updated on 30/Dec/21 $$$$$$\mathrm{prove}\mathrm{that}$$$$\mathrm{\Omega }={\int }_0^{\mathrm{\infty }}\frac{\ln \left(\frac{1}{x}\right)}{x^4+17x^2+16}dx\stackrel{?}{=}\frac{\pi }{60}\ln \left(2\right)$$$$$$ Commented by…

Question Number 31463 by abdo imad last updated on 08/Mar/18 $$letgivethefunctionf\left(x\right)={\int }_0^{\pi }ln(1+xcos\theta )d\theta with\mid x\mid <1$$$$1)findasimpleformoff\left(x\right)$$$$2)calculate{\int }_0^{\pi }ln(1-cos\theta )d\theta$$$$3)calculate{\int }_0^{\pi }ln(1+cos\theta )d\theta .$$…